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The entire solutions of homogeneous linear partial differential equations of the second order related to products of special functions. (English) Zbl 1438.30133

Summary: By using value distribution theory in high dimensional spaces, special functions and classic ordinary differiantial equations, some homogenius linear partial differiantial equations of second order are studied by characterizing entire solutions related closely to products of special functions, and a new direction of partial differential equations is enhibited.

MSC:

30D20 Entire functions of one complex variable (general theory)
30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
34M05 Entire and meromorphic solutions to ordinary differential equations in the complex domain
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